quote:
Originally posted by Islandvic:
I was actually thinking this the other day.
My '96 Vic burns 1 qt every 1000-1200 miles.
With a 6000 mile OCI, that's 5 quarts that have been replaced in the original 5 qt sump.
Math whizes, After 6000 miles, what would be the ratio of orig, 1st, 2nd, 3rd, 4th and 5th quarts of refill oil in the sump when I drain?
Assuming you add a qt every 1000 miles.
Each time you get down to 4 qts and add a qt, you will have 80% old, 20% new oil. I other words you will replace 20% of what's in the sump each time.
original oil"
add a qt at 1000 miles = 80% of original oil = 4 qts
" 2000 miles = 64% of original = 3.2 qts
" 3000 miles = 51.2% = 2.56 qts
" 4000 miles = 40.96% = 2.05 qts
" 5000 miles = 32.77% = 1.64 qts
Ratios at 6000 miles are the same as at 5000 miles because you don't add any oil at 6000 miles
At 5,000 miles There will be 1 x 0.8^4 = 0.41 qts of the 1000 mile qt left
1 x 0.8^3 = 0.512 qts of the 2000 mile qt left
1 x 0.8^2 = 0.64 qts of the 3000 mile qt left
1 x 0.8 = 0.8 qts of the 4000 mile qt left
1 qt if new oil.
For a sanity check thats:
1.64 + 0.41 + 0.512 + 0.64 + 0.8 + 1 = 5.002 qts
"Oil burning engines, they're not a bug, they're a feature.
Bill Gates."
Average age of oil at 5,000 miles:
code:
1.64 x 5000 = 8200
0.41 x 4000 = 1640
0.51 x 3000 = 1530
0.64 x 2000 = 1260
0.80 x 1000 = 800
+ 1.00 x 0 = 0
----
13450 qt miles
13450 qt miles/5 qts = 2690 miles
At 6,000 miles be0pre adding another qt, the average age would be 3689 miles, after adding a qt it would drop back to:
code:
3689 x 4 = 14756
+ 0 x 1 = 0
--------
14756
14756/5 = 2951 miles
A few comments:
Someone please check my arithmetic.
The calculation can be done much more elegantly but that wouldn't illustrate what's happening to your individual quarts of oil as clearly as this way does.
The increase in average oil age is tending towards alimit, probably less than 4,000 miles even if you drive a bazillion miles without changing your oil.
If you just look at the average oil age numbers, it looks like you could run forever by replacing 1 qt of burned oil evry thousand miles. The problem is that the same engine conditions that cause the oil to be burned usually muck up the oil faster than normal.
OTOH, if you were losing the oil though leaks, you could just keep adding oil and have resonably fresh oil in your engine forever. You could also make some money on the side by getting a contract from the county to oil their back roads